A figure resembling a spiral is shown with 35 matches. Move 4 matches to form 3 squares.
Problems
Grades: 6th to 8th
Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Assign each letter a value
equal to its position in the alphabet (A = 1, B = 2, C = 3, …). Then find the
product value of a word by multiplying the values together. For example, CAT
has a product value of 60, because C = 3, A = 1, T = 20, and 3 × 1 × 20 = 60.
How many other words can you
find with a product value of 60?
Problems
Grades: 3rd to 5th
Num & Ops Base Ten
Algebraic Thinking
Use place value understanding and properties of operations to perform multidigit arithmetic.
Multiply and divide within 100.
3.OA.C.7, 4.NBT.B.5
There
are 29 students in Miss Spelling’s class. As a special holiday gift, she bought
each of them chocolate letters with which they can spell their names.
Unfortunately, some letters cost more than others — for instance, the
letter A, which is in high demand, is rather pricey; whereas the letter Q,
which almost no one wants, is relatively inexpensive.
The
price of the chocolate letters for each student in her class is shown in the
table below.
AIDEN – 386

ARI – 209

ARIEL – 376

BLAIRE – 390

CHARLES – 457

CLARE – 334

DEAN – 317

EARL – 307

FRIDA – 273

GABRIEL – 410

IVY – 97

KOLE – 249

LEIA – 317

LEO – 242

MAVIS – 246

NADINE – 453

NED – 236

PAUL – 167

QASIM – 238

RACHEL – 394

RAFI – 231

SAM – 168

TIRA – 299

ULA – 148

VERA – 276

VIJAY – 179

WOLKE – 272

XAVIER – 346

ZERACH – 355


How
much would it cost to buy the letters in your
name?
Problems
Grades: High School, 6th to 8th, 3rd to 5th
Num & Ops Base Ten
Use place value understanding and properties of operations to perform multidigit arithmetic.
3.NBT.A.2, 4.NBT.B.4
IlluminAir
is a small international airline that provides service between Toronto,
Ontario; Reston, Virginia; and Doha, Qatar. There are 17 different routes from Doha to Reston, including those that go
through Toronto. There are 11 different routes from Reston to Toronto,
including those that go through Doha. How many routes are there from Doha to
Toronto?
Problems
Write 2014 with the first four prime numbers, with the
aid of the operations addition, multiplication and exponentiation.
Problems
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
Algebraic Thinking
Apply and extend previous understandings of arithmetic to algebraic expressions.
Gain familiarity with factors and multiples.
Multiply and divide within 100.
3.OA.C.7, 4.OA.B.4, 6.EE.A.1